100097146638 has 48 divisors (see below), whose sum is σ = 218182242096. Its totient is φ = 33165538560.

The previous prime is 100097146637. The next prime is 100097146651. The reversal of 100097146638 is 836641790001.

It is a happy number.

100097146638 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 7 + 1 + 4 + 6 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100097146593 and 100097146602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100097146637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1982920 + ... + 2032772.

It is an arithmetic number, because the mean of its divisors is an integer number (4545463377).

Almost surely, 2^100097146638 is an apocalyptic number.

100097146638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100097146638 is an abundant number, since it is smaller than the sum of its proper divisors (118085095458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100097146638 is a wasteful number, since it uses less digits than its factorization.

100097146638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50529 (or 50526 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100097146638 in words is "one hundred billion, ninety-seven million, one hundred forty-six thousand, six hundred thirty-eight".